## Numerical modeling

#### MAP 502: A project on numerical modeling done in twos

### Winter 2016 at Ecole Polytechnique

#### ♦Lecture notes (final version):

Lecture notes (Nov 21, 2016)#### ♦Projects:

Projects (Nov 21, 2016)#### ♦Overview:

This course is devoted to an introduction to numerical modeling and subsequent project work done in groups of two. The first part consists of five lectures until mid-November. In the second part, groups of two, will work on numerical projects until end February 2017.#### ♦Time and place:

- Time (lecture): Monday, 14:00 - 17:00 (except Oct 10: 14:00 - 16:00)
- Place (lecture): PC 41 at Ecole Polytechnique

#### ♦Further meetings:

- In room PC 41: Monday, Nov 21, 2016: 14:00 - 17:00 (6th lecture meeting/1st project meeting with distribution/discussion about projects)
- In room PC 41: Monday, Jan 09, 2017: 14:00 - 16:00 (1st project meeting)
- In room PC 41: Monday, Feb 06, 2017: 14:00 - 16:00 (2nd project meeting)
- In room PC 41: Monday, Mar 06, 2017: 13:00 - 18:00 (Final exam/presentation of project results) All project meetings 1-2 are

**optional**. These dates are reserved for discussing questions that arise during the project work. I try to gather one or two meetings in addition (maybe Jan 16 and Feb 13).

#### ♦Contents:

- Introduction to numerical modeling and differential equations
- Numerical methods for ODEs (IVP)
- Numerical methods for PDEs (BVP)
- Solution of the heat equation (IBVP)

#### ♦Short bibliography:

- Please see Chapter 1 of the *.pdf version of the lecture notes.

#### ♦Evaluation:

- From mid-November 2016 until end of February 2017, the participants work in groups of two on small numerical projects. On March 06, 2017, the final evaluation will take place, which consists of a meeting that includes a short (15 minutes) presentation of the results of each group, plus some questions, plus submission of short notes (approx. 10 pages) with the main findings.

#### ♦Contact:

- Thomas Wick: thomas.wick@cmap.polytechnique.fr

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